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Simplifying 6x + -1[2x + -3(x + 1)] = x + 20 Reorder the terms: 6x + -1[2x + -3(1 + x)] = x + 20 6x + -1[2x + (1 * -3 + x * -3)] = x + 20 6x + -1[2x + (-3 + -3x)] = x + 20 Reorder the terms: 6x + -1[-3 + 2x + -3x] = x + 20 Combine like terms: 2x + -3x = -1x 6x + -1[-3 + -1x] = x + 20 6x + [-3 * -1 + -1x * -1] = x + 20 6x + [3 + 1x] = x + 20 Reorder the terms: 3 + 6x + 1x = x + 20 Combine like terms: 6x + 1x = 7x 3 + 7x = x + 20 Reorder the terms: 3 + 7x = 20 + x Solving 3 + 7x = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 7x + -1x = 20 + x + -1x Combine like terms: 7x + -1x = 6x 3 + 6x = 20 + x + -1x Combine like terms: x + -1x = 0 3 + 6x = 20 + 0 3 + 6x = 20 Add '-3' to each side of the equation. 3 + -3 + 6x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 20 + -3 6x = 20 + -3 Combine like terms: 20 + -3 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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